As it so often happens in these kinds of situation, the things you end up doing at the very end is the one you should have done from the start: The direct and straightforward solution, by talking to each other. But often times this is easier said than done because the phrasing that people "can't stand" each other can be a bit misleading or oversimplifying. Not liking each other usually means more than personalities not being compatible, it often entails the fact that both sides see each other as unreasonable and impossible to talk to. This is why both sides tend to go for other options first by getting their friends, superiors or outside authority figures involved. In this specific case, we actually managed to get our conflict resolved not because we suddenly grew to like each other as a result of our conversation, I'm pretty sure that's still not the case, but because the circumstances around us helped rectify the situation, little things around pratice, team meetings, line combinations etc. that the coaches and other players used to both defuse the conflict and create situations where we are successful together and can bond over those shared achievements.